Multiplying machine



, I M 77A Sept. 3, 1940. w. LANG r AL 2,213,565

MULTIPLYING MACHINE Filed Sept. 10,' 19557 B'Sheets-Sheet l UCL-Ai'ToRNEY Sept 3 1940- w. LANG Er A1. 2,213,565

MULTIPLYING MACHINE Filed sept. 1o. 19:57 e sheets-sheet 2 FIG. 2.

ATTO R N EY Sept' 3, '1940 w. LANG Er AL 2,213,565

MULTIPLYING MACHINE TTORNEY Sept- 3,v 1940.' w. LANG ET A1. 2,213,565

' MULTIPLYING MACHINE- Filed Sept. l0, 1937 8 Sheets-Sheet 4 i l lATTORNEY Sept' 3, 1940. w. LANG Er AL 2,213,565y

MULTIPLYING MACHINE I Filed sept. 1o, 1957 8 'sheetsfsneet 5 CARRY PERI'ATTORNEY SePt- 3 1940- w. LANG ET Al. 2,213,565

MULTIPLYING MACHINE med sept. 1o, 1937 a sheets-sheet e VEN ORS yATTORNEY MCv Sept. 3, 1940. w. LANG ET Al.

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'ATTORNEY Sept. 3, 1940. w. LANG ET AL 2,213,565

MULTIPLYING MACHINE Filed sept. 10, 19s? a sheets-sheet 8 ATTORNEYAccording to the mathematical principles un- Patented Sept. 3, 1940 2,2

lUNITED STATES PATENT OFFICE MULTIPLYING MACHINE William Lang, New York,N. Y., and George B. Heddendorf, New Brunswick, N. J., assignors toInternational Business Machines Corporation, New York, N. Y., acorporationof New York Application September 10, 1937, Serial No.163,300

8 Claims. (Cl. 235-6L8) This is a continuationl in part of applicationto restate the problem in terms of different fac- Serial- No, 99,370,iled September 4, 1936. tors, thus:

This invention relates to improvements in accounting machines and moreparticularly, multi- 1580 16-3160X8- 6320XL1-12640X2 etc' 5 plyingaccounting machines. and 5` The present invention has for one of itsobjects 1580 13:3150X 9:6320 X4 1/2: the provision ofanimproved type ofmultiplying (12640X2) +3160 etc. machine in which thev method ofcomputation It 1s to be further observed that Where the technicallyknown as duplation is employed.

fraction 1/2 1s involved, such product may again 10 derlying theinvention, a geometrical progression be restated as in the expression:with a ratio of 2 is formed in Which the multipli- 6320X41. 1/2 to read(6320X4) |13160 cand factor is the first term of the series. Thus with amultiplicancl factor of say 1580 the series It follows then that theproblem of 1580 15 may be restated as follows:

Would be 1580, 3160, 6320, 12640, 25280, etc. In

15 aooordanoe with the va1ue of the multiplier fao- 15s0 15= 3160 7+1580: 1.5

tor, there is selected from this series the term (6320X3) +3160|1580= pwhich equals, or the plurality of terms Which (126401)|6320|3160+1580=23700 when added together equail the product of thetwo From this it is derived that Wheneverthe mullctorsl' Tletroqegllgelto rea'teg Iduc l tiplier term of the series is odd the companion 20 eVa ue o e m 1p 19,1' as e m 1P man multiplicand term is selected as aterm of the lncreases. .Thls reduct1on 1s termed halv1ng.so product Sum'that 1f Wlth amlltlpllel 0f 16, the lSWO' Selles t In constructing amechanism to carry out the aie Set dOWn a-S fOllOWSI above principles,three accumulators may be employed, one to receive and build up theprogres- 25 Multfplfcand 1580 3160 6320 12640 25280 sive series ofmultiplicand terms, a second to remumpher"" 16 8 4 2 1' ceive and buildthe series of multiplier terms and the product 25280 is obtained and isfourniv above a third t0 receive under coltlfol 0f thfl'st two themultiplier term Whose value is odd. This all the -terms of themultipllcand ser1es whose holds true if all other terms in themultiplier multiplier Companion terms are odd' The fol" 30 Series areeven A lowing table will help to make this clear:

Where more than one odd term appears in the l Table I multiplier series,the product is the sum of the 376'5X125=470625 multiplicand terms abovethe odd multiplier 35 terms thus: Alll accu- Mg] #1 I Multipiioand 15803160 6320 12640 25280 f m t m a m a" Mult1pl1er 18 9 4 2+ 1+ ggg (odd)gg 125 40 Hero the product is 3160+25280=28440 It is to on (aan) 50o"'f'* 4 be noted that the fractions resuming from ha1v. g2 odd ,1,333ing the odd numbers are ignored. Again, for the 11153 oddg gggg 4000problem 1580 15, (odd) :133058 Muitiplioand 1580 3160 6320 12640 igggggg 84333 y 45 Multiplier 15 '7 3 1 y' 1 (odd) 256000 256000 theproduotis 1580+3160+6320+12640i23700- 47'0625 f It will be observed thatin building the parallel series of numbers that the eiect has simplybeen Thus, in eleven steps, which. is the number re- 5 I quired toreduce 3765 to 1, the final product may be obtained and inspection willshow that the maximum number ofI steps for any four place multiplier isthirteen.

Where .greater rapidity of operation is desired, the number of steps canbe considerably reduced by separating the multiplier into twocomponents, as in the following table:

Tafblev II 3765 125:470625 A B MC #l 37 (Odd) 65 (Odd) 125 125 18 32 2509 (odd) 16 500 500 4 8 1000 2 4 2000 l (odd) 2 4000 4000 l (odd) 8000Here the multiplier is divided into two parts 37 and 65 and whenever theamount in the A accumulator is odd, the amount in the MC accumulator isentered into the #I accumulator and whenever the amount in the Baccumulator is odd the amount in the MC accumulator is entered into the#2 accumulator. When the multiplier is so reduced to separate twoplacemultipliers, the maximum number of steps involved in reducing the twoplace number to 1 is six and after the reduction the separate productsare combined with a two place column displacement to form the completeproduct.

A still further reduction in the number of steps is possible if themultiplier is divided into single digits, and a separate accumulatorprovided for each. The maximum number of steps in such case is three,before the separate sub-products are combined with a single placedisplacement.`

This is illustrated below:

' Table III A B C D MC #l #2 #3 #4 One of the principal objects of theinvention is,A

therefore, the provision of an accumulator, into which an amount may beentered and the amount thereafter automatically halved in` successivesteps. A

A further object resides in the provision of an accumulator in whichmeans is provided for reading out` the complementof half the amountstanding therein and reenterling saidcomplement to reduce the initialamount by half. i,

A more specific object is to provide a `halving readout for anaccumulator in which the tens complement of exactly half the amountstanding in the accumulator is automatically reentered when the amountis an even number and the nines complement of half the next lower evennumber is reentered when the amount is an odd number.

A further object is to provide mechanism for determining whether theamount standing on an accumulator is an odd number to cause saidmechanism to control the transfer mechanism between the accumulators.

A still further object is to provide mechanism to test an accumulator todetermine whether the amount standing on the accumulator is even or oddand to cause the entry of a 1 in the units order of the accumulator ifthe amount is an even number.

Various other objects and advantages of the invention will be obviousfrom the following particular description of forms of mechanismembodying the invention or from an inspection of the accompanyingdrawings; and the invention also constitutes certain new and usefulfeatures of construction and combination of parts hereinafter set forthand claimed.

In the drawings:

Figs. 1, 2, and 3, taken .together and arranged vertically in the ordernamed, show the wiring diagram of the electric circuits of the machine.

Fig. 4 is a View showing the driving mechanism for feeding the recordcards.

Fig. 5 is a view showing and analyzing mechanism.

Fig. 6 is a-view showing ting mechanism. l Fig. 7 is an isometric viewshowing one order of the accumulator mechanism.

Fig. 8 is a timing chart showing the timing of the electrical devicesofthe machine.

the card advancing the accumulator reset- Fig. 9 is a sectional view ofthe printing mech`` anism. v

Fig; 10 is a view of acontrolling record cardin which multiplicand andmultiplier factors are perforated.

Fig. 11 is a view showing the manner in which a typical computation isperformed by the machine.

Fig. 12 isa detail of a special readout device.

Fig. 13 is a detail of mechanism for entering an "elusive one into anaccumulator.

Before describing the construction of the machine to which the presentinvention is shown applied, the general principles under which themachine operates and the general mode of operation will be set forth inconnection with a selected problem.

Referring to Fig. 11, there are represented dia.- grammatically thesteps involved in solution of the problem 596329 1580. ii'lthe recordcard bearing the two factors to be multiplied is first advanced to passthe analyzing brushes where the multiplicand factor 1580 is read andentered into the accumulatordesignated MC. Themul- 'tiplier factor596329 is read concurrently with the multiplicand and entered into themultiplier accumulators A, Bf and C, as three separate smallermultipliers and the machine effects multiplication separately for eachpart. Thus, the

will be multiplied by 29 in the C v section; by 63, in the B section;and by 59, in the multiplicand A section. i

After the card has been sensed, the accumulators will contain theamounts indicated after the line entitled Enter MP and MC. In thefollowing computing cycles, it is the object to cause the repeateddoubling of the multiplicand amount and the repeated reduction of theamounts in the A, B, and C accumulators by an itial amounts.

amount equal to the whole part of half the in- This is effected in thepresent machine by subtracting from each of the A, B, or C accumulatorsan amount equal to half the entry, if such entry is an even number,'or,if the number is odd, half of the next lower even number. Forconvenience in construction, this subtraction is effected bycomplementary addition.-

The increasing of the initial multiplicand amount in the MC accumulatoris brought about by what will hereinafter be termed doubling operations.The doubling operation is represented in Fig. 11 by the curved arrowspointed downwardly to the next'line, indicating that the amount in theaccumulator is added to itself, or doubled. The reduction of the amountsin the .A, B, and C accumulators will her'einafter be termed halvingoperations and areindicated in the same manner as the doubling operationby curved arrows pointing downwardly. Transferring operations areindicated by ,arrows extending from the amount in the MC accumulator toone of the .other three accumulators #L ft2, -or #3, indicating that theamount standing in the MC accumulator has been added to such otheraccumulator.

As mentioned, the machine will perform three separate multiplyingoperations concurrently withl the three sections of the multiplier andwill obtain three separate sub-products which will later be combined toform ,the complete, or final, product. Thus, in following through theproblem of Fig. '11, it will suffice to explain, for example, the mannerin which the product 29 1580 is obtained. During the second cycle, theamount 1580 in the MC accumulator is read out and reentered therein. Theamount 29 will control the reading outI of an amount 854in the Caccumulator. This 85 is the nines complement of 134 which is half of 28,the next lower even number. The accumulator C is provided with twodenominational ordersonly, so that the carry from the tens order isdiscarded. Before the doubling and halving cycle takes place, the unitsorder of the C accumulator' is tested to determine whether the value inthat order is an odd or an even number. If Iit is found to be an oddnumber, connections are established so that the amount in the MCaccumulator will be transferred to ACC#3 concurrently with the re-entryof the amount into the MC accumulator. Thus, since 29 is an odd number,the multiplicand will be transferred during the second cycle to ACC#3 aswell as to the MC :accumulator at the same time that the amount in the Caccumulator is reduced. After this second cycle, the C accumulator' willcontain 14; the MC' accumulator, the amount 3160; and ACG#3, the amount1580. During the third, transfer cycle, the operations are repeated;that is, the amount 3160 will be re -entered inv the 'MC accumulator andthe amount 93 will be entered in the C accumulator, this being the tenscomplement of half 14 which is 7. Since the amount 14 is even, there isno transfer operation between the MC' accumulator and ACC#3. It is alsoto be noted that when the amount in the C accumulator is even, thelamount re-entered therein is the tens complement of half that amount,while when the amount standing therein is odd, the amount entered is thenines complement of half the next 4 lower even number'. After the thirdcycle,the amount standing in the C accumulator is 7; MC contains 6320,and ACC#3 contains 1580. In the fourth cycle, which now follows, the MCamount is again doubled and since the amount in C is odd, the amount inMC is also transferred to ACC#3 and the nines complement of 3, which is96 is entered into'accumulator C to reduce the amount therein to 3. Thefth cycle and the sixth cycle are repetitionsof the fourth cycle asv theamount in the C accumulator is odd and will cause the transfer to the #3accumulator during both cycles while the MC accumulator continuesdoubling. At the end of the sixth cycle the amount in the C accumulatoris Zero and no further effective change will take place in thisaccumulator and no transferring will take place during the seventh cycleso that at the end of the seventhY cycle, th'e amount standing in ACC#3will be 45820, which is the product of 29 1580. During the seventh cyclethe nines complement 99 is added into accumulator C together witnafugitive f1 digit with th'e net result of returning the accumulatorsetting to zero. The machine thus halves zero in this cycle and again inthe eighth cycle.

During these transferring cycles, similar operations have taken place tocause the repeated reduction of the amount in the B accumulator and thetransfer of the amount in the MCv accumu- -lator to ACC#2 Whenever theunits order of the -B amount'represented an odd number, and similarly,the amount in the A accumulator controls the transfer from the MCaccumulator to ACC#I so that after the seventh cycle, ACC#I will containthe product of 59 times the multiplicand and ACC#2 will contain63'timesthe multiplicand.

The maximum number of halving cycles to "effect a reduction of anytwo-place multiplier to zero is seven and the machine has accordinglybeen arranged to invariably perform seven halving'cycles. If thenumberentered in either A,

B, or C is a small number so that it reaches zero in less than sevencycles, the remainder will merely be idle cycles. Thus, the number 29 isreduced to Zero in five cycles and the last two the transferred amountoffset two decimal places to provide the proper denominationalallocation.

During the second gathering cycle, the amount in ACC#I is similarlytransferred, with the number offset fourI decimal places so that afterthe ninth cycle, ACC#3 contains theA final product 942199820. There nowfollows the final cycle during which theproduct is printed and the maichine is reset in preparation for the next problem.

The accounting machine to which the present invention'is shown asapplied, so far as the mechanical construction is concerned, is similarto the machine shown and described in U. S. Patent No. 1,976,617,granted October 9, 1934 to C. D. Lake and'G. F. Daly, to which referencemay be had for a fuller description'of the general oper'- ation of thevarious units and the manner of drive. There are certain differences inthe present vconstruction over the machine shown in the above mentionedpatent which will be pointed ou hereinafter.

l In the following, the separate units of the machine will first beldescribed to explain their manner of operation, after which the circuitdiagram `will be described to point out the manner in which the severalunits are coordinated. y

Card feeding mechanism represents the drive shaft of the machine which`may be directly connected or detachably coupled to a suitable drivingmotor.

In Fig. 5, the analyzing brushes are indicated at' UB 'and the recordcards Rare successively advanced by picker to a first pair of feedrollers I2 which serve. to advance the cards to further pairs of feedrollers I3 which advance the -cards to pass the brushes UB. The shaftsupon which rollers I3 are mounted are provided with gears |4 at theirextremities and arranged as shown in Fig. 4 to be driven through gearingI5 from gear IB on the drive shaft I0. Itis thus seen that the rollersI3 are in constant rotation. From one of the gears I5 a gear |1 isdriven through an idler I8, which gear I1 is freely mounted upon a shaftI9. Secured on shaft I9 is a gear 20 which serves to drive the pickermechanism and the first pair of feed rollers I2. Also secured on shaftI9 is a clutch arm 2| carrying a spring-pressed dog 22, which dog andarm are normally lat-shed in the position shown by latching armature 23pivoted at 24 and controlled by a magnet 25.

Energization of magnet 25 will release dog 22 for engagement withdriving element 26 which is secured to the constantly running gear I1 sothat gear 20 will be driven for one revolution during which the pickerwill advance the record card from the magazine to rollers I2 which feedit to the dotted line position indicated in Fig. 5, where the leadingedge of the'card is beneath the brushes UB. I

At the brush station, there is provided a pair of card lever contactsdesignated UCL, whichare operated by the usual card levers to closel asthe record card passes the station and to remain open unless a card ispresent. During the doubling,

' halving, transferring, gathering', and product printing cycles, magnet25 is deenergized and card feeding will, of course, not take placeduring such cycles.

Accumulatingl mechanism The adding mechanism is entirely similar to thatshown and described in the patent referred to and the descriptionthereof Will accordingly be limited to a brief explanation of its mannerof operation. The drive shaft 21 (Fig. 1) is directly geared to the mainshaft IIl in Fig. 4 so that it is in operation as long as the drivingmotor of the machine functions and the driving ratio is such that shaft21 makes one revolution for each card feeding cycle of the machine. Theshaft 21 has slidably'mounted thereon but keyed for rotation therewithaclutch element 28, one for each denominational order of theaccumulator. The element28 is provided with a groove into which fits theend of the short arm of a lever 29 whichis pivoted as shown and providedwith a block 30 normally held as in Fig. 7 by armature latch 3|. ofadding magnet 32.

. of member 29 is adapted to be engaged by a finger 38 toward the end ofthe cycle for the a purpose of dsengaging clutching element 28 fromteeth 34 and re-latching block 30 on armature 3|.

Briefly summarizing the adding operation, the magnet 32 may be energizedat various points in the cycle of the machine depending upon thelocation of a perforation in a column of the card analyzed bythe brushesUB. This energization vmay take place in response to a perforation inany of the index point positions from 9 to 1, in-

elusive. A perforation in the 9 index point posi- I tion will trip theclutch element 28, nine steps before -linger 38 is operated to declutchit and a perforation in the. 1 index point position will trip the clutchelement28 one step before it is declutched by the finger 38. Each stepof clutching engagement corresponds to a tenth of a revolution of theaccumulator index wheel 31 so that a 9 hole will cause it to movenine-tenths of a revolution and thesl hole will cause it tomove'one-tenth of a revolution. The manner in which circuits through thebrushes UB control the operation of magnet 32 will be set forth inconnection With the explanation of the circuit diagram. Suitable carrymechanism between the several orders of the accumulator mechanism areprovided and these are exactly similar to that shown in the Patent No.1,976,617 so that illustra.- tion thereof is omitted.

MC readout mechanism Also driven by gear 35 (Fig. '1) isa gear 39.

Since the ratio of gears 39 and 35 is 2:1, the` 'strip 42, thus forminganelectrical connection between the two. If the wheel 31 is displaced toindicate, say 8, then one of the brushes 4I) will be in contact with the8 segment 4| and the other brush will be in contact with the arcuatestrip 42. The positioning of the brushes 4I) provides a convenientelectrical readout mechanism for controlling doubling, transferring,gathering, and product printing operations, and the electrical circuitsinvolved in these functions will be more fully explained in connectionwith the circuit diagram.

Printing mechanism The printing mechanism is shown in Fig. 9 where theusual so-called listing shaft 43 carries a clutch driving element 44.The shaft 43 has direct driving connection with the constantly runningshaft |0 (Fig. 4) so that clutch driving, element 44 may rotatecontinuously. The listing cam 45 is freely carried on the shaft 43 andthe patentA above referred te.

provided with a spring-pressed clutching dog 46 adapted forengagementwith the driving element 44. Dog 46 is normally held out of engagementby arm 41 controlled by magnet 48.

Energ-ization of magnet 48 will permit cam 45 to rotate with the listingshaft 43 and follower arm49 will cause oscillation of1 rocker shaft 50to which are secured arms link-connected to the reciprocatingcrosshead52 so that for each revolution of cam 45, crosshead 52` will be movedupwardly and then down -again to its initial position. 'Slidinglymounted in the crosshead are type bars 53 spring urgedinto movement withthe crosshead as it rises. As type bar 53 moves upwardly, ratchet teeth54 successively-pass the nose of stopping pawl 55 as the type elements56 successively pass printing position'opposite platen 51.

Energization of printing magnet 58 as the type bar` moves upwardly willdraw call wire 59 toward the right to rock the latch 60 out ofengagement with stopping pawl 55 whereby the nose of the latter willengage one of the teeth 54 and interrupt further upward movement of thetype bar. Before the crosshead 52 moves downwardly, the usual printinghammers. are tripped to take an impression from the selected typeelements.

Accumulator resetting mechanism The shaft 6| (Fig. 6) upon which theindex wheels 31 of an accumulator are loosely mounted is slotted forcooperation with the usual springpressed pawls (Fig. 12) pivoted uponand carried by the individual index wheels in such manner thatcounterclockwise rotationlf shaft 6| will engage and drive the indexwheels 31 forwardly to lzero position during a single revolution ofshaft 6|.

Referring to Fig. 6, shaftl carries a gear 62 at its extremity which isin engagement with-gear 63 mounted upon reset shaft 64. Gear 63, ofwhich there isone for each accumulator, may be selectively coupled tothe resetting shaft 64 in thewell known manner more fully explained inAt the extremity of shaft 64 is a gear 65 which is adapted to be drivenby an intermittent gear -66 which is secured` to shaft 61. Also fixed toshaft 61 is an arm 68 which 'carries spring-pressed clutch dog 69normally held in the position shown in Fig. 6 by a latching armsupported by armature shaft 1| of magnet armature 12. Energization ofmagnet 13 will release dog 69 for engagement with clutch driving element14. Element 14 is integral With a gear which meshes with a, gear 16secured upon constantly running shaft 43.

With this arrangement, driving element 14 is in constant rotation andwhenever it is Vdesired to effect resetting of the accumiilato'rs magnet13 is energized to provide a connection between lators are also providedwith a readout for each order, but differ from the MC readout in thatinstead of having ten separate contact Segments orders 'and entries are4|, there are provided only four, indicatedat 4la, which representpairs-of numbers as indicated. In addition, thegear 39 which positionsthe readout brushes 40 drives a further gear 39a through` an idler 39hand will cause rotation of a second pair cn sensing brushes 40a. brushescooperate with contact segments 4|b which are provided only in the oddnumber posi-- tions s o that when the brushes 40a stand at an oddnumber, there is an electrical connection between'one of the segments4|b and a common strip 42h.

The units order of each of the accumulators A, B, and C is provided withmeans for effecting a so-called' elusive one entry. 'I'his mechanism isshown in Fig. 13 wherein the units positio-n is provided with the usualcarry pawl arm |08 normally held in the position shown, by a latch |09.Energization of carry magnet will release pawl |08, permitting the sameto rock clockwise upon shaft 6|v so that pawl carried thereby will moveinto engagement withthe next tooth on ratchet ||2 which is integral withthe adding wheel 31. The usual carry bail ||3 will thereafter engagelever |08 to restore it tothe l position of Fig. 13 and during suchrestoring movement the pawl will advance the ratchet ||2 andwheel 31 oneplace. In Fig. 8 there is indicated -by the legend Carry period the timein the cycle of operations when bail |I3 moves lever |08 to advance thewheel one step.

General explanation of the circuit diagram The wiring diagram of theelectric circuits of the machine is shown in Figs. l, 2, and 3, whereinthe various cam controlled contact devices are diagrammatically shownand suitably labelled L, CR, or TP for identification. The cams prexed Loperate only during the card feed cycle. The cams prefixed TP operateonly during the total print and reset cycle, while those prefixed CRThese and the emitters pre Aed E are in constant operation. The timingfthese contact devices is shown in the timing diagram (Fig. 8) to whichreference may be made for the time in the cycle of operations duringwhich they function.

' In this figure the dark lines represent the period during which thecam contacts are closed.

Due to the numerous circuit connections involved in the presentarrangement, it has not been advisable in all instances to show therelay magnets and their associated contacts in close proximity to oneanother, For purposes of clarity in the wiring arrangement, the relaycontact points are shown 'in the circuits which they control and theirrelay magnets are dotted adjacent thereto. Further, the differentcontacts are designated with the same reference characteras thecontrolling magnet, followed by a numeral. The complete circuit diagram.will now be describedin detail and the various operations will be setforth i'n the order of their occurrence.

For each record card there will be eleven cycles. Of these cycles there'will be for each card first, one cycle during which the cardis moved topass the brushes UB. Following this, there Will be seven doubling,halving, and transferring cycles, after which will follow two so-calledgathering cycles, and then the product printing and resettirgycle, thusmaking eleven cycles for each computation.

Starting cycles- Referring to Fig. 1, the switch 11 is rst closed toconnect the motor M between the main lines 80 and $0. With the motor' Mvin operation, the severalV constantly rotating shafts and the CR camscommence rotation. Depression of Athe start key to close contacts 18will cause energization of the card feed clutch magnet 25 and the cardpicker mechanism will operate to feed the rst card from the magazine tothe rst pair of rollers I2.

At the end of this cycle, the card will be at the dotted line positionshown in Fig, 5. A second depression of the start key 18 will againenergize magnet, 25,an`d the rst card R will advance to pass the brushesUB while the second card is advanced by the picker I.

As the brushes UB traverse the multiplier and multiplicand elds of thecard, circuits will be completed through the perforations representingthe factors. It may be here explained that in the circuit diagram,sufcient. mechanism has been shown to handle a six place multiplier anda more limited number of vplaces for the multiplicand. This has beendone to obviate the repetition of similar parts.

Entering circuits.-The manner in which the amounts are entered into theaccumulators will now be explained and the control circuits traced. Asthe card continues downwardly to pass the brushes UB, the multiplicandamount is entered into the accumulator MC. The entering circuits H2(closed as will be explained) and adding mag-- net 32 of accumulator MC.Similarly, circuits are completed (Fig. l) through connections 92 to theadding magnets 32 of the multiplier accumulators A, B, and C throughrelay contacts H3, The contacts H2 and H3 are provided to preventundesirable back circuits and are controlled by relay magnet H, shown inFig. 1. The operation is as follows: y

As the card moves to pass the brushes, the relay magnet H is energizedand contacts H2 and H3 are closed. The cam contacts L4 .close toenergize the relay H if a card is advanced to close card lever` contactsUCLI, thereby closing its contacts HI. The contacts L4 maintain magnet H-energized through that portion of the cycle during which the cardtraverses thebrushes so that at-such `time the contacts H2 and H3 areclosed and they are open at all other times.

The energization of relay magnetH Will close its contacts HI therebycompleting the'circuit through relay magnet F extending from line 80,through contacts HI, relay' F, and cam contacts TP3 which are normallyclosed. Magnet F will close its contacts F2 which establish a holdingcircuit through relay magnet Fvwhich will accordingly remain energizeduntil contacts TP3 open near the end of the' resetting cycleY ofoperations.

Doubling circuits- When an amount is to be read out of the MCaccumulator and re-entered therein to effect doubling of the amount; aplug connection 95 (Fig. 3) ismade between the plug socket 96 of thataccumulator and relay contacts DI, anda further plug connection 91 ismade from the contacts DI to socket 9.3 of the same accumulator.

Due to the closure of contacts DI, a circuit is traceable as follows:from line 90, wire 98, emitter E2, through wires 99, readout segments4|,

brushes 40, common strip 42, socket 96, connection 95, contacts DI,connection 91, socket 93,

adding magnet 32, to line 80. The adding magnet I 2 of the accumulatorwill thus be energized 42, socket 96, connection |00,'contacts IT2,connections IOI to socket 93, and thence through magnet 32 to line 80.The magnet 32 of ACC#| will thus be energized in accordance with theamount standing on accumulator MC.

Gathering circuits.-When it' is desired to gather the sub-products fromACC# I and ACC#2 into ACC#3, a plug connection |02 is made to contactsIG2 and a connection |03 is made to contacts 2G2. Further connections|04 and |05 are made from these contacts to sockets 93 of ACC#3 in theproper denominational positions. When contacts IG2 are closed, thegathering circuit which is similar to the above described transferringcircuit will follow from the common strip 42 inthe units order of ACC#|through connection |02, contacts IG2, connection |04, socket 93 of thetens of thousands order of ACC#3 and thence through magnet 32 in thatorder to line 80.

If contacts 2G2 are closed, a similar circuit is traceable from thereadout strip 42 in the units order of ACC#2 through connection |03,contacts 2G2, connection |05 to thevsocket 93 in the hundreds order ofACC#3 and thence through the adding magnet 32 of that order.

Product printing circuits.-When the nal product is to be printed,contacts P5 are closed and through plug connections |06 and |01 madethereto, circuits may be traced from the readout strip 42 in the unitsorder of ACC#3, through connection |06, contactsV P5, connection |01,printing magnet 58', to line 80.

The above describes briefly the manner in which Ithe diierent doubling,transferring, and product printing circuits are completed and in Fig. 3has been shown the plug connections for a single order of each of theaccumulators. It will be understood that similar connections are made inthe other positions.

Haloing circuits.-The manner in which an entry is read out ofaccumulators A, B, or C and re-entered therein to control the entry of acomplement will now be explained. In the description, specific referencewill be made to accumulator A and it will be understood that theoperation of the B and C accumulators is the same. The amount standing`in the tens order of the A accumulator is read out as the ninescomplement of half the number standing therein, if the number is even,or half the next lower even. number, if the number is odd. The circuitsmay best be understood by tracing a specific example. Assuming the brush'4,0 in the tens order of the A accumulator to be standing at 8, acircuit is traceable during any transfer cycle while the .emitter EI isrotating, which follows-fromright side of line through the "5 spot ofemitter EI to the 5 wire I|5, wire IIB, to the 8, 9 segment .4Ia,- brush40, common conductor 42, to plug socket I I 1 and thence through plugconnection ||8 to contacts D2 which are closed during doublingoperations, as will be explained, plug connection ||9 to the addingmagnet 3.2 of the tens order. This impulse. being at the "5 time in thecycle, will cause the entry of a 5 into the order, which is the ninescomplement of half of 8. In the same manner, if the brush 40 werestanding at 9, a "5 Would also be entered. Thus, for the problem in Fig.11, With the initial entry of 59 in the A accumulator, the "5 standingin the tens order of this accumulator Will cause the entry of a 7 intothe same'order.

The segments 4Ia of the units order'are connected through wires |20 tothe same wires H5 to which the corresponding segments 4|a. of the tensorder are connected. Inserted in the Wires, |20 are contacts KI whichare normally closed and if, during a transfer cycle, contacts KI remainclosed, the amount read out of the units order and re-entered thereinWill be effected in the same manner as explained for the tens order.Thus, if the brush 40 of the units `order is standing at 8, the circuitis traceable from line 90, through emitter El, the 5 wire ||5, the Wire|20 farthest to the right, contacts KI 8, 9 segment 4|a, brush 40,common strip 42, plug socket I I'l, connection I I8, contacts D2. andmagnet 32 of the units order. v

If the tens digit standing on the accumulator is odd, the contacts KIare open and contacts K2 closed, thus connecting the units segments 4 Ia to Wires ||5 through a group of Wires I2I. The 8, 9 segment 4Ia of theunits order is entirely disconnected when contacts K| open as no contactK2 is provided in this position. The Wires |2| connect the units ordersegments 4|a to Wires ||5 representing the complement of the amountstanding in that order plus 5, if the tens order digit is even. If thetens order digit is odd, it will be the complement of half the nextlower even number plus 5. For example, Wit-h the brush 40 of the unitsorder standing in,-let us say, the 6 position, with contacts K2 closed,the circuit is traceable from line 80, unit adding magnet 32, contactsD2, connection IIB, socket 1, conductor 42, brush 40, 6, 7 segment 4Iain the units order, contacts K2, Wire |2| to the "1 Wire ||5, emitterEl, to line 90. Thus, with the units brush standing on "6 or 7, acircuit is completed to add l into the accumulator when the tens'orderis an odd numbcr.

The contacts KI, K2 are shifted by the relay magnet K which is energizedwhen the tens order contains an odd digit. For this purpose, the readoutcontact segments Mb and common strip 4217 are utilized and as the brush40a, cooperating with these segments, takes a position on one of them, acircuit is completed from right side of line 9U, through cam contactsCR4, which close after an entry has been made, relay contacts F3, whichclose during the card feed cycle and remain closed until the totalprinting cycle, conductor 42b, brush 40d, odd number segment 4|b, arelay magnet M, relay K, and wire |22, to line 80. Magnet M closes itscontacts MI, setting up a holding circuit from line 90, cam contactsCR2, contacts MI, relays M, K, and Wire |212, to line 80. The relaymagnet K is energized, if the digit in the tens order is odd, at the endof the card feed cycle after an entry has been made and is heldenergized throughout the entering portion of the next follov'ving cycle,during which time the halving, doubling, and transferring operationstake place. l l Y After entries have been made, contacts CRZ open andlater in the'cycle contacts CR4 'again close to sense the new amountstanding on the accumulator and if the tens order thereof is still odd,relay magnet K will again be energized, and

if 4the number is even,` the circuit will not be completed and contactsKI will remain closed.

The readout segments 4|b in the units order'of accumulator A control theoperation of relay magnet IT which controls the contacts |T2 of Fig. 3,which, as explained; complete the transfer circuits from the MCaccumulator to ACC# I'. As

wasexplained, this transfer takes place Whenever common conductor 42h,relay magnet N, magnet IT, Wire |22, to line 80. It is completedconcurrently with that which energized the magnet K.

Relay N closes its contacts NI, setting up a holding circuit throughcontacts CRZ which hold the circuit energized through the entry portionof the next following cycle. Thus, if both the units and tens digits areodd, magnets K and IT are concurrently energized and'held so, for thesame period.

In th'e carrying out of the problem, it is necessary whenever the unitsdigit iseven to enter an extra one into that order'to, in effect, enterthe tens complement of half thevalue ofthe digit. For this purpose,relay N is provided with a normally closed pair of contacts N2 and ifthe amount standing in the units order isI even, magnet N, as We haveseen, will remain deenergized. Near the end of each cycle, cam contactsCR3 close after contacts CR4 have closed and a circuit Will be completedfromv line 90, through cam contacts CR3, contacts N2, contacts D5, relaymagnet R, the elusive one magnet IIO, to line 80.

Relay magnet R closes its contacts RI to CRT which maintain the circuitover into the next cycle to insure the proper operation'ofthe mechanismcontrolled by magnet IIU to enter a l by means of the carry mechanism ofthe .units order. 'If the number standing in. the units order is odd,the closure of contacts CR4 to energize relay magnet N will have takenplace and caused, opening of contacts N2 before cam contacts CR3 closeso that Where the number is odd, the carry magnet I IIJ is not operated.

The multiplier accumulator circuits have been explained in connectionwith accumulator A. The

accumulators B and C arer exactly the same so that they need not beseparately described and the contacts CR2, CR3, CR4, and F3 have beenshown as a separatesetof contacts for each accumulator. But, it isobvious kthat a single set will sunice for all.

Sequence controlling circuits.-It remains now to explain the mechanismfor causing the cycles required for each computation to follow in theproper sequence. In Fig. 1, there is shown diagrammatically a Well knowntype of circuit closing device comprising a common conductor |30 andindividual contact segments I3I which are traversed in succession by abrush 32 which is carried by an arm |33 connected to a ratchet |34 andbiased in a clockwisedirection by a spring |35. Energization of magnet|36 will operate armature and pawl device |31 to advance the brush |32to the next segment. A spring-pressed4 holding pawl |38 will retain thebrush in its advanced position and uponenergization of the releasemagnet |39, the pawl I 38 is withdrawn so that spring |35 may return thebrush to home pobrush |32 occupies the position shown in Fig. 1. As Wehave seen, relay magnet F is energized during this cycle causing closureof its contacts Fl so that near the end of the entering cycle, uponclosure of cam contacts CRS, a circuit is completed from line 80,contacts F| CRS, magnet |36, to line 90. This will cause advance of thebrush |32 to connect the "2 segment |3| to the conductor |30 whereupon acircuit is traceable from line 80, through wire |40, conductor |30,brush |32, "2 segment |3|, relay magnet D, cam contacts CRS to line 90.Contacts CRS are closed throughout the entering portion of the nextcycle so that, during that period, relay magnet D remains energized andwill hold its contacts DI of Fig. 3 and contacts D2 and D5 of Figs. 1`and 2 closed, thus permitting entries to be transferred from the readoutdevices of the MC, A, B, and C accumulators to the vadding magnets ofthe same accumulators. Near the end of this cycle, magnet |36 is againenergized, moving the brush to the third segment |3| and magnet D isagain energized. The eighth cycle is provided to take care of thelargest possible numbers which require a transfer to be carried out inthis cycle. These numbers are 64 to S9 inclusive, each of which requiresseven halving operations to reduce it to zero.

The segments 2 to ,8, inclusive, are electrically connected to oneanother so that for each of these cycles magnet D is energized. Near theend of the eighth cycle, the brush |32 is advanced to the 9segment 3|and when CR3,

thereafter closes, relay' IG will be energized to close its contacts |G2in Fig. 3 so that the amount standing in ACC#| may be transferred toACCii'S.

1urther advance of brush |32 will connect the.

` also closes its contacts Pl, shown at the' top ofV Fig. 1, to energizethe print clutch magnet 48 so that the printing mechanism will operatedur' 'ing the next cycle and the amount standing in ACC#3 will beprinted. If switch I4| is closed, the reset clutch magnet 13 will alsobe energized toeffect resetting of all the accumulators after theproduct has been printed. During the printing operation, the camcontacts prefixed TP, operate, ofv-which contacts TP2 close to energizethe resetting magnet |39 of the step-by-step relay. Contacts TP3 open todeenergize the relay magnet F and contacts TPI close near the end of thecycle to energize the card feed clutch magnet 25 to automatically feedthe next following card to pass the brushes UB and from this point onthe sequence of operations is repeated for the next computation inaccordancewith the factors punched on the following record card.

A brief explanation will now be given with reference to the operation ofthe several relays to more clearly explain their action and timing. Letus assume that a card having the multiplier of 99 vand multiplicand of1580 has been placed in the hopper and that switch 11 is closed.

Card feed cycles.-As has been explained when first starting the machine,two 'successive card feed cycles take place and near the end of theAfirst cycle the card engages the card lever to shift the UCL contacts..With these contacts shifted, the multiplier and multiplicand amountsnear the end of the second cycle when contacts CRS close, arm |33 willbe shifted to its "2 position, causing energization of relay D shortlyafter contacts CRS close and contacts CRS will keep this relay energized.until after the entering portion of the next cycle. Just prior to theenergization of relay D, contacts CR4 test the setting of the tens andunits positions of accumulator A and ysince these both contain a 9, anodd number,

relays M, K, N, and |T are energized and will be held by contacts CR2coextensively with relay D. Nearer the end of the cycle contacts CR3close ineffectively as contacts N2 will now be open.

First transfer cycle (2).-At the commencement of thisI cycle relays D,F,K and |T are energized so that as emitter E2 operates the MC amountwill be read out of accumulator MC and reentered therein and alsoentered in accumulator dil. Emitter El Will cause the amount 50 to beentered into accumulator"4 A to reduce the original entry of 99 to 49.When CR4 subsequently closes relay K will not be energized as the tensorder of accumulator A is now even, but relay IT will be energized asthe units order is odd. Stepping arm |33 is shifted to position 3 andrelay D is again energized.

Second transfer cycle (3) .-At the commencement of this cycle relays D,F and |T are energized and emitter 2 again causes doubling andtransferring operations to take place, While emitter causes the amount'75v to be entered into accumulator A toeffect a result of 24 therein.Both digits are now even and when CR4 closes, neither K nor |T isenergized. CRS causes a further shift of arm |33 to its 4 position andrelay D becomes energized so that its contacts DS are closed whencontacts CR3 close at the end of the cycle to enablel energization ofcarry magnet H to trip the carry lever'in the units order of accumulatorA. It should be pointed out at this time that while the carry magnet 0is energized at the end of a cycle the actual entry of the unit does nottake place, due to the mechanical structure, until the carry period inthe next cycle which is completed before contacts CR4 close in such nextcycle.

Third transfer cycle (4) .--At the commencement of this cycle relays D,F and ||0 are energized. Doubling takes place but no transfer fromaccumulator MC to accumulator Emitter causes the amount 81 to be addedto the amount 24 in accumulator A and during the carry period a 1 isadded to give a result of 12. This amc'unt is again` tested by contactsCR4 resulting in the energization of relay K and when CR3 closes, magnetI0 is also energized and the carry lever tripped. Also, stepping arm |33is shifted to its 5 position.

'Fourth transfer cycle-At the commencement of this cycle the relays D, Fand K and magnet I0 are energized. Doubling takes place withoutaccompanying transfer to accumulator and emitter I causes the amount 93to be added to the remaining 12 and a unit is entered by the carrymechanism to give a result of 06 in accumulator A. Again, when contactsCR4 close to test the accumulator, both orders are in even condition sothat neitherK nor IT are energized and.

. .are still closed,

Fifth transferv cycle (6) At the commencement of this cycle relays D andF and magnet III) are energized. Doubling takes place withoutaccompanying transfer to accumulator I and emitter I causes the amount96 to beadded to the amount 06 and ya further lis also entered by thecarryv mechanism resulting in the amount 03.

Again, CR4 tests and causes relays IT and N to be energized, thuspreventing a carry magnet im# pulse when contacts CR3 close. Again,lever |33 is stepped to its I position.

Sixth transfer cycle (7) .-At the commencement of thiscycle relays D, FandsI T are energized so that accumulator MC transfers to itself and toaccumulator I. Emitter I causes the amount 98 to be-entered inaccumulator A result ing in the reading O1. -At'the testing timev afterthe shift of lever |33 to its 8 position, relays IT and N are againenergized.

Seventh transfer cycle (8) At the commencement of this cycle relays D,F, and IT are energized resulting in doubling in MC and .transfer toaccumulator vI while emitter enters 99 into accumulator A to obtain thereading 00. When contacts CRS now clos, lever |33 is shifted to position9, relay D is not energized, and since its contacts D5 are thereforeopen when contacts CR3 close, the carry magnet III) is not energized. Inposition 9, the lever |33 causes energization of relay IG.

First gathering cycle (9).--At the commence'- ment of this cycle relaysD and IT aredeenergized so that no doubling and no transferring toaccumulator I can take place, and' no entry can be made into accumulatorA either by emitter or the carry mechanism so that the setting of I 00in accumulator A remains undisturbed. Emitter 2 causes thelamount inaccumulator to be entered into accumulator 3. Later, lever |33 isstepped to its Ill position where relay 2G is energized.

Second' gathering cycle (10) ,-This lcycle is the same as. the precedingcycle except that relay 2G is energizedfinstead of IG so that thetransfer is from accumulator 2 to accumulator 3. For the example underconsideration, there is no significant amount in-'accumulator 2 so thatthis is in reality an idle cycle. ear its end,'arm |33 is stepped to itsposition e ergizing relay P.

Print and reset cycle (11) ,-During this cycle, the print and resetclutch magnets 48and 'I3 are energized and the' amount in accumulator 3is printed.v Near the end ofthe cycle contacts TF2 close to effectrestoration of lever |33 to its I position and contacts TP3 open todeenergize relay F and contacts TPI close tocommence a new card feedcycle. A

It should-be observed'that whenever during the operation of the machineany of the accumulators A, B or C stand at zero, after the entry periodof any transfer cycle before cycle 8, there will be an entry of 99plus'a carry of 1 to'effectl a complete revolution in both accumulatororders so Athat the accumulator will in effect remain at zero. Toillustrate this, assume that there is no entry made in accumulator Afrom a card while there `may Abe entriesmade in accumulators B and C.Accordingly, at the end-of the card feed cycle relay F will be energizedand CRS will have shifted lever |33 to position 2 resu1tingin theenergization ofl relay D, sothat contact D2 closed, and when .CR3 closenearer the end of the I- cycle carry magnetv I I 0 is also energized.

At the beginning of lthe rst transfer cycle I (cycle 2) therefore',relays D, F and magnet I Ill are nergized and emitter I will cause theamount 99 to be entered in accumulator A and later the extra r fugitive1 is entered by the carry mecha-1- nism .le ving the accumulator A atzero. This same sequence lfollows for lthe subsequent transfer cyclessothat, when any ofthe accumulators A, B or C stands at zero, it vineffect does not have its setting changed,

The exact entries are tabulated below for the example of a multiplierof990012 where 99 is entered in accumulator A, 00 in accumulator B, and 12in accumulator C.

Table 1v Acda Acdnf 'Acc'.o

lilnnterMP 99 00 12 2 Transfer A50 99 l93 v lFug. lFng.

l' 49 oo os 3 Transfer `7s 99 l9c lFug. 1 Fug.

24 oo 03 4 dq 81 99 `9e lFug. lFug.

12 -oo A o1 5 do l93 99 99 i lFug. lFug. o. To ws do 96 -99. `99

. 1 Fug. `lFug. lFug.

' f o3 oo oo 7 ---do l9s 199 99 lrug. iFug.

o1 do oo s -do A99 99 499 lFug lFug.

oo oo oo Recapitulaton t The operation of the mechanism -will now beYbriefly vreviewed with'particular reference to the problem of Fig. 11to point out the sequence of operations. During the first cycle, as thecard passes the brushes U'B, thermultiplier factor is i for enteringunder control of the readout devices.

Near the end of the rst cycle, the tens. orders of the accumulators A,B, and C are Dsensed'to determine whether the" digits in these 'ordersare even- 5 is found to be odd and accordingly the magnet K for thisorder is energized. The magnets K for .accumulators'B and C remaindeenergized. VAt -the` same timeJ the units orders are also sensed andthe digits 'in` all three ,are found to be odd, thereby causingenergization of the relay magnets IT, 2T, and 3T so that the readoutdeviceof accumulator ,/MC -is connected to transfer the amount 1580 toeach of the accumulators '#1, #2,' and #3.Y Near the end 'of thetransfer cycle, the brush of the stepping relay is again advanced and'the units and tens orders of the multiplier accumulators are tested. Aneven number is found in the tens order of the A accumulator so that itsI magnet K is not disturbed. The tens orders of the B vand Caccumulators are found to be 'odd and,

' or odd'. In connection with. accumulator A, digit consequently, theirrelay magnets K are energized. The units order of the C accumulatorcontains the even digit 4 so that for this accumulator the carry magnetH0 is energized to enter the additional unit during the next followingcycle and the transfer magnet 3T thereof is not energized. i

This successive testing and entering goes on for five more cycles, atthe end of which time the entries in the A, B, and C accumulators willhave been decreased to zero and the stepping relay will be in positionto energize the gathering magnet IG so that the amcuntin ACC#2 may betransferred to ACC#3 and after this, upon further advance of thestepping relay, the gathering magnet 2G is energized to complete thegathering of the sub-products and finally, energization of themagnet Pwill bring the printing mechanism into operation and will complete theconnections from the `readout devices of ACC#3 to the printing magnets58 and the accumulators will be reset in preparation for the entry offurther factors from the next following card.

The machine has been disclosed for purposes of illustration ascontaining three accumulators A, B, and C for the multiplier and threeaccumulators #L #2, and #3 to separately compute the sub-products. Itis, of course, apparent that with a larger multiplier, additionalaccumulators may be provided to take further pairs of multiplier digitsand a further sub-product accumulator may be added for each additionalpairvof multiplierl digits. The multiplier accumulators have been shownas comprising two orders each. If

smaller numbers, for example, numbers contain- 5 pointed out thefundamental novel features of the invention as applied to severalmodifications, it will be understood that various omissions andsubstitutions and changes in the form and details of the deviceillustrated and in its operation may 50 b e made by those skilled in theart "Without deby said ascertaining means for effecting an operation of'said transferring means when the num-- ber in said first accumulator isodd.

2.*In a multiplying machine, a multiplicand accumulator, a multiplieraccumulator, a readout device for each means for entering a factor ineach, means including the readout device of the multiplicand accumulatorfor amount in said multiplicand accumulator, means for effectingrepeated operation of said doubling means, means operative.- for eachdoubling operation and including the readout device of the multiplieraccumulator for reducing the amount standing in the multiplieraccumulator to half doubling the the amount, if the amount is even, orto half the nextlower even amount, if the amount is odd, means operativeafter each doubling operation for ascertaining whether the amount thenstanding on the multiplier accumulator is odd or even, a thirdaccumulator, and means controlled by said ascertainingmeans for causingthe amount standing in the multiplicand accumulator to be transferred tosaid accumulator whenever the said amount in the multiplier accumulatoris an Y odd number.

3. In a machine of the class described, a multiplicand accumulator,means for entering a multiplicand amount therein, a plurality ofmultiplier accumulators, means for entering a multiplier amount in each,a plurality of product accumulators, one for each multiplieraccumulator, means for testing said multiplier accumulators to ascertainwhether the amounts entered are even or odd numbers, andmeans'controlled by said testing means for causing the multiplicandamount to be transferred to each of the product accumulators whosecorresponding multiplier -accumulator contains an odd number.

4. In a multiplying machine, an accumulator, means for entering amountstherein, the first amount being representative of a multiplicand,settable means controlled by the accumulator to representthe amountstanding therein, means including said settable means, for controllingsaid entering means to cause the accumulator to control the settablemeans to represent, in succession andin ascending order, the terms ofthe geometrical progression whose ratio is 2 and Whose first term is thesaid multiplicand amount, a second accumulator, means for enteringamounts therein, the first amount being representative of a multiplier,settable means controlled by the second accumulator to represent theamount standing therein, means including said last settable means forcontrolling said last named entering means to cause the se ondaccumulator to control its settable means to represent in succession andin descending order the terms of the geometrical progression having thesame ratio as the said ascending progression, Whose first term is thesaid multiplier amount, each term of the descending progression beingrepresented on its settable means concurrently with the representationof the corresponding term of the ascending progression on its settablemeans, a third accumulator, means for transferring the amounts standingon the settable means of the first named accumulator to said thirdaccumulator, means for ascertaining for each term of the descendingprogression if the term is exactly divisible by the ratio 2 and meanscontrolled by said ascertaining means when the term is not exactlydivisible by 2 for causing said transferring means to transfer thecorresponding term of the ascending progression from the rst'namedsettable means to said third accumulator.

5. In a multiplyingmachine, a pair of entry receiving devices, means forentering an amount ineach, means for ascertaining whether the amount inone of said devices is exactly divisible by 2, a third entry receivingdevice, means for controlling the operation of said third entryreceiving device in accordance with the amount standing in.

the second of said pair of entry receiving devices,

and means controlled by said ascertaining means for effecting anoperation \of said controlling means when the amount in said first entryreceiving device is not exactly divisible by 2.

6. In a machine of the class described, an accumulator having' a. pairof denominational order elements, entering means therefor, means forcausing said entering means to enter a number into said elements, adevice for each element,`posi tioned thereby to represent any digitstanding the related element, a second device, one for each.

element, positioned thereby to represent any odd digit standingin the,related element, readout means including an emitter for causing each'of`said rst named devices to control their related denominational enteringmeans to` enter the 9s coxnplementvozf half the digit standing thereinif the digit is even and the 9s complement of the next lower even digitif the Adigit standing therein is odd, means for normally enteringan'e1usive one" into the lower order accumulator element, meanscontrolled by the second device of the higher order element, when an odddigit is rpresented thereon for causing part of said readout means tocontrol the entering means of the 'lower order element in accordancewith the unit digit of the summation of the 9s complement of half thedigit standing in the llower order increased by ive if the digit is evenand in accordance with the units digitsof the summation-of the 9scomplement of half the next lower digit, increased by live if the digitis odd, and means controlled by the second device of the lower orderelement,-

when the digit represented thereon is odd for suppressing the entry ofsaid elusive one.

7. In a multiplyiing machine, an amount manifesting device, means forentering a multiplicand amount therein, means for operatingsaid devicesubsequent to the entry o f said multiplicand amount to manifest insuccession amounts representing each of the terms of a geometrical pro-Avcumulator to be controlled in accordance with the terms in theA rstprogression whose corresponding terms in the scond progression are notexactly divisible by the ratio.

8. In a multiplying machine an accumulator, means for entering amountstherein, the iirst amount being representative of amultiplicand,settable means controlled by the accumulator to represent the amountstanding therein, means including said settable means, for controllingsaid entering means` to cause the accumulator to control the settablemeans to represent, in succession and in ascending order, the terms of ageometrical progression whose ratio is 2 and whose rst term is the saidmultiplicand amount, a plurality of multiplier accumulators, means forentering amounts in each, the irst. amount in each being representativeof a multiplier, settable means for each multiplier accumulator4controlled thereby to represent the amount standing therein, meansrelated to each multiplier accumulator and including its relatedsettable means, for controlling its entering means to cause each of saidaccumulators .to control its -settable means to represent in successionand in descending order the terms.

sion on its settable means, a plurality of product accumulators, one foreach multiplier accumulator, -means for transferring the amountsstandterm in the corresponding accumulator is not exactly divisible bysaid ratio for causing said transferring means to transfer thecorresponding term 0f the ascending progression from the settable meansof the multiphcand accumulator to the related product accumulator.

WIIIZJIIIAIMLANG'.` f GEORGE B. HEDDENDORF.

CERTIFICATE O F CORRECTION.

Patent; No. 2,215,565. september 5, 19b,o. 1 -wILLIAn LANG', ET AL.

It is hereby certified that error appears in the printed specificationof the above numbered patent requiring-*correction as follows: Page 2,first 1 column, lines 2l `and 22, in the righthhand column of Table II,for

page l0, second column, line 9 claim 2, before the word "accumulator"insert ,-third; and tha t the said Letters Patent should be read withthis correction therein that the same may conform to the record of thecase in the Patent Office. l

Signed and sealed this 22nd day of-October, A. D. 191|.O.

Henry Van Arsdale, (Seal) Acting Conmissioner of Patents.

